The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation

Liding HuangJiaogen Zhang

Dec 2022

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摘要原文

The purpose of this paper is to investigate the parabolic deformedHermitian-Yang-Mills equation with hypercritical phase in a smooth domain$\Omega\subset \mathbb{C}^{n}$. By using $J$-functional, we are able to provethe convergence of solutions. As an application, we give an alternative proofof the Dirichlet problem for deformed Hermitian-Yang-Mills equation.

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